The other reason to explore beyond the \(\Lambda \) CDM model is the recently emerging and persistent anomalies in present high precision cosmological data. The mismatch between values of Hubble parameter inferred from CMB data and direct measurements is one of them. The SH0ES (Supernovae H0 for equation of state) team has measured the value of Hubble parameter \(H_0=73.2\pm 1.3 \rm {km/s/Mpc}\)  using the distance ladder method [1]}, [2]}. However The Planck 2018 measurement of CMB (Cosmic Microwave Background) has measured the value of Hubble parameter \(H_0=67.36\pm 0.54 \rm {km/s/Mpc}\)  using \(\Lambda \) CDM model [3]}. So there is a \(4.2\sigma \)  discrepancy between both measurements. This mismatch gained significance with various improved precision measurements see, [4]}, [5]}, [6]}, [7]}, [8]}.
